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Finding the Third Proportional to 680,850 and 1,077,595

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Solution

The third proportional to 680,850 and 1,077,595 is: 1,705,531.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,850 : 1,077,595 = 1,077,595 : x
  2. Step 2: Convert to fraction form
    680,850/1,077,595 = 1,077,595/x
  3. Step 3: Cross multiply
    680,850x = 1,077,595 × 1,077,595
  4. Step 4: Simplify right side
    680,850x = 1,161,210,984,025
  5. Step 5: Solve for x
    x = 1,161,210,984,025/680,850
  6. Step 6: Final answer
    x = 1,705,531.30

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.